Title :
A new design of reduced-order controllers for singular H∞ control problems based on ARE approach
Author_Institution :
Dept. of Commun. Eng., Okayama Prefectural Univ., Japan
Abstract :
Reduced-order controllers for singular H∞ control problems with infinite zeros are studied via the ARE (algebraic Riccati equation) approach. First, we analyze the relation between the eigenstructure corresponding to the infinite zeros and the parameterization of H∞ controllers given in the descriptor form. Next, we propose a method to choose appropriately the free parameter in the parameterization for constructing the H∞ controllers whose orders are equal to the size of a reduced-order ARE involved in solvability conditions of the singular H ∞ control problems. The parameterization of the reduced-order H∞ controllers is also discussed
Keywords :
H∞ control; Riccati equations; control system synthesis; matrix algebra; poles and zeros; reduced order systems; algebraic Riccati equation; descriptor form; eigenstructure; infinite zeros; parameterization; reduced-order controllers; singular H∞ control problems; Communication system control; Computer science; Control systems; Design engineering; Error correction; H infinity control; Riccati equations; Size control; Systems engineering and theory; Transfer functions;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.914222
